132120214431040 has 224 divisors, whose sum is σ = 347433572522880. Its totient is φ = 47453943398400.

The previous prime is 132120214431019. The next prime is 132120214431053. The reversal of 132120214431040 is 40134412021231.

It is a happy number.

It is a super-3 number, since 3×132120214431040³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298334575 + ... + 298777105.

Almost surely, 2^{132120214431040} is an apocalyptic number.

132120214431040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132120214431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173716786261440).

132120214431040 is an abundant number, since it is smaller than the sum of its proper divisors (215313358091840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132120214431040 is a wasteful number, since it uses less digits than its factorization.

132120214431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443601 (or 443591 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 132120214431040 its reverse (40134412021231), we get a palindrome (172254626452271).

The spelling of 132120214431040 in words is "one hundred thirty-two trillion, one hundred twenty billion, two hundred fourteen million, four hundred thirty-one thousand, forty".